Question

(Total for Question is 4 marks)
Diagram NOT
accurately drawn
Q2.
ABC is a straight line.
AB = BD
Angle BAD = 25°
Angle BCD = 70°
Work out the size of the angle marked
X.
Give reasons for your answer.
70°
С
(Total for Question is 4 marks)

Answer 1

Answer:

I call this angle chasing or angle hunting. The answer is 60°.

Step-by-step explanation:

$m \: bad = 25 \\ m \: bcd = 70 \: therefore \\ m \: adc \: = 180 - (70 + 25) = 85$

since ∆ BAD is an isosceles triangle m BDA = m BAD = 25°

$m \: adc \: - m \: adb = 85 - 25 = 60 \\ x = 60 \: degrees$